Question

Mr. Alvarez is laying square paver blocks in sections in rows that look like steps.Section 1 has 3 rows that look like steps, the section is 6 blocks wide, and the bottom step is 8 blocks long. Section 2 has 4 rows that look like steps, the Section is 8 blocks wide, and the bottom step is 10 blocks long. Each Section after that is 2 blocks wider and 2 blocks longer.Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.

Answer 1

12

14

36 blocks

56 blocks

108 blocks

Step-by-step explanation:

The length of section 1 = 8

The length increases by 2 uits as the section increases

Section 2 length of block = length of section 1 + 2 =

= 8 + 2

length of block = 10

Section 3 length of block = length of section 2 + 2

= 10 + 2

length of block = 12

Section 4 length of block = length of section 3 + 2

= 12 + 2

length of section = 14

Number of blocks needed:

if the blocks are counted,

For section 1 there are 6 rows . So we count the total number of blocks on each of them

= 4 + 4 + 6 + 6 + 8 + 8

Section 1 = 36 blocks

For section 2, we count the number of blocks on each row

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10

section 2 = 56 blocks

For sectoion 3: The length and width increases by 2 respectively

previous length + 2 = 10 + 2 = 12

Due to the increase we would have two length of 12

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 = 80

Already given = 80

For section 4: The length and width increases by 2 respectively

previous length + 2 = 12 + 2 = 14

The increase causes an addition of two length of 14 blocks

Total blocks = 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 + 14 + 14

Total blocks for Section 4 = 108